Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Rotating cone.

A solid uniform cone having height and radius \(R\) both, is given an angular velocity \(\omega_{0}\) about its symmetry axis without any translational velocity, and its base kept on a surface having coefficient of kinetic friction \(\mu_{k}\). Find the the time in seconds after which its stops rotating.

Details and assumptions

\(R = 49 \text{ cm}\)

\(\omega_{0} = 20\text{ rad/s}\)

\(\mu_{k} = 0.06\)

\(g = 9.8\text{ m/s}^2\)

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.